An optimal scheme to boost immunity and suppress viruses for HIV by combining a phased immunotherapy with the sustaining antiviral therapy

DOI10.3934/mbe.2020253zbMath1470.92160OpenAlexW3039517085WikidataQ101116854 ScholiaQ101116854MaRDI QIDQ2047732

Yongzhen Pei, Xiyin Liang, Yunfei Lv, Youyi Yang

Publication date: 4 August 2021

Published in: Mathematical Biosciences and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mbe.2020253

zbMATH Keywords

HIVbistabilityparametric sensitivityoptimal combined treatmentsustained immunity

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Medical applications (general) (92C50) Stability of solutions to ordinary differential equations (34D20)

Cites Work

• A delayed HIV-1 model with virus waning term
• A simple model of pathogen-immune dynamics including specific and non-specific immunity
• Introduction to functional differential equations
• Modeling HIV persistence, the latent reservoir, and viral blips
• Parametric sensitivity analysis of oscillatory delay systems with an application to gene regulation
• Sustained and transient oscillations and chaos induced by delayed antiviral immune response in an immunosuppressive infection model
• Geometric Stability Switch Criteria in Delay Differential Systems with Delay Dependent Parameters
• JOINT IMPACTS OF THERAPY DURATION, DRUG EFFICACY AND TIME LAG IN IMMUNE EXPANSION ON IMMUNITY BOOSTING BY ANTIVIRAL THERAPY
• Mathematical Analysis of HIV-1 Dynamics in Vivo
• Optimal therapies of a virus replication model with pharmacological delays based on reverse transcriptase inhibitors and protease inhibitors
• BISTABILITY ANALYSIS OF AN HIV MODEL WITH IMMUNE RESPONSE
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